ENGLISH

Lie algebras: finite and infinite dimensional, applications in physics.

By E.A. de Kerf , G.G.A. Bäuerle

Book information

Publisher
NH
Year
1990
ISBN
9780444887764, 0444887768
LCC
QC20.7.L54 B38
Open Library ID
OL1860837M
Language
english
Format
DJVU
Filesize
2 MB (2281934 bytes)
Volume
part 1
Pages
412\412
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2010-11-11 16:01:50

Description

The structure of the laws in physics is largely based on symmetries. This book is on Lie algebras, the mathematics of symmetry. It has grown from lectures for undergraduates in theoretical and mathematical physics and gives a thorough mathematical treatment of finite dimensional Lie algebras and Kac-Moody algebras. Concepts such as Cartan matrix, root system, Serre's construction are carefully introduced. Although the book can be read by an undergraduate with only an elementary knowledge of linear algebra, the book will also be of use to the experienced researcher. Experience has shown that students who followed the lectures are well-prepared to take on research in the realms of string-theory, conformal field-theory and integrable systems. The new series ``Studies in Mathematical Physics'' aims at discussing recent developments in physics offering sound mathematics and a high didactical quality. The emphasis lies on techniques, ideas and methods that are fundamental, interesting and innovating in both mathematics and physics, herewith creating a link between the two disciplines.

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